The Jamiołkowski Isomorphism and a Simplified Proof for the Correspondence Between Vectors Having Schmidt Number k and k-Positive Maps
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Publication:5437442
DOI10.1007/s11080-007-9062-2zbMath1134.81342arXivquant-ph/0702255OpenAlexW1966519061MaRDI QIDQ5437442
Publication date: 21 January 2008
Published in: Open Systems & Information Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0702255
Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15)
Related Items (6)
Positive maps and entanglement in real Hilbert spaces ⋮ Minimal and maximal operator spaces and operator systems in entanglement theory ⋮ Mapping cone of \(k\)-entanglement breaking maps ⋮ DUALITIES AND POSITIVITY IN THE STUDY OF QUANTUM ENTANGLEMENT ⋮ Cones of positive maps and their duality relations ⋮ Restricted numerical range: A versatile tool in the theory of quantum information
Cites Work
- Completely positive maps and entropy inequalities
- Completely positive linear maps on complex matrices
- Linear transformations which preserve Hermitian and positive semidefinite operators
- Linear transformations which preserve trace and positive semidefiniteness of operators
- A Simple Proof of the Jamiołkowski Criterion for Complete Positivity of Linear Maps
- Characterization of distillability of entanglement in terms of positive maps
- Separability Criterion for Density Matrices
- Positive Linear Maps on C*-Algebras
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